研究了由有限个动态子系统组成的非线性切换系统的近似生存性判别问题.首先通过构造一个分段常数反馈控制器证明了系统在任意切换准则下都是近似生存的,并给出系统关于一个任意集合近似生存的充分判别条件.最后基于非光滑分析理论给出系统关于不等式区域近似生存的一个充分判别条件.
The approximate viability for nonlinear switched systems composed of a finite number of dynamic subsystems is studied.Firstly,a piecewise constant feedback controller is constructed to prove that the system can achieve the approximate viability property under arbitrary switching criterion,and a sufficient condition determining the viability of the systems on an arbitrary set is given.At last,based on the nonsmooth analysis theory,a sufficient viability condition for the systems on a region expressed by inequalities is also provided.